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Finding the Fourth Proportional to 12,775.35, 17,630.33 and 7,032.97

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Solution

The fourth proportional to 12,775.35, 17,630.33 and 7,032.97 is: 9,705.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,775.35 : 17,630.33 = 7,032.97 : x
  2. Step 2: Convert to fraction form
    12,775.35/17,630.33 = 7,032.97/x
  3. Step 3: Cross multiply
    12,775.35x = 17,630.33 × 7,032.97
  4. Step 4: Simplify right side
    12,775.35x = 123,993,502.74
  5. Step 5: Solve for x
    x = 123,993,502.74/12,775.35
  6. Step 6: Final answer
    x = 9,705.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.